91455120 has 120 divisors (see below), whose sum is σ = 315529656. Its totient is φ = 23721984.

The previous prime is 91455097. The next prime is 91455131. The reversal of 91455120 is 2155419.

91455120 is a `hidden beast` number, since 9 + 145 + 512 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18249984 + 73205136 = 4272^2 + 8556^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24924 + ... + 28356.

Almost surely, 2^91455120 is an apocalyptic number.

91455120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91455120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157764828).

91455120 is an abundant number, since it is smaller than the sum of its proper divisors (224074536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91455120 is a wasteful number, since it uses less digits than its factorization.

91455120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 91455120 is about 9563.2170319407. The cubic root of 91455120 is about 450.5427525213.

The spelling of 91455120 in words is "ninety-one million, four hundred fifty-five thousand, one hundred twenty".